The answer is it depends.
If the group of brats who applauded the incident on the plane still think that's the proper way to handle an issue with the media, then issues could crop up again this year.
If Cora gets in their faces about it (unlike Farrel), or if there are members of the team that don't agree with tthat behavior, there could be some real problems in the clubhouse. That could affect the win/loss record.
While I think Price is a sensitive little prick, I don't believe he can sink this team on his own.